The thing is in my undergrad I haven't gone into a class that includes discussion about vector space, and the related stuffs, simply because they were not offered in the syllabus. As I have seen in some Quantum physics courses in some universities, they did talk about vector space in a certain chapter. I have tried to take a peek in their lecture notes, I didn't go through it until the end of this chapter though, but I noticed in the beginning of this chapter that it will talk about properties of vector space like (i) u+v = v+u (ii) a(u+v) = au + av and so on, where u and v are vectors and a is number (real or complex). And I can predict it will mainly talk about mathematical abstraction. But they are just things I already learned in highschool, as you guys did. What is so special about u+v = v+u, isn't it obvious. So why do they bother reviewing those things. Well I know there might appear some things rather new later on if I keep reading through it, but just: 1) what good will it do me to study vector space if I know how to deal with vectors? 2) which parts of quantum physics that rely heavily on understanding of vector space, is it so crucial that without having learned vector space I won't be able to get around those parts? 3) is worth for me to spent days to learn this matter?